11109986334720 has 3840 divisors, whose sum is σ = 52849417420800. Its totient is φ = 2167107747840.

The previous prime is 11109986334703. The next prime is 11109986334763. The reversal of 11109986334720 is 2743368990111.

11109986334720 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 99 + 86 + 3 + 3 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-4 number, since 4×11109986334720⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 87480207297 + ... + 87480207423.

It is an arithmetic number, because the mean of its divisors is an integer number (13762869120).

Almost surely, 2^{11109986334720} is an apocalyptic number.

11109986334720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11109986334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26424708710400).

11109986334720 is an abundant number, since it is smaller than the sum of its proper divisors (41739431086080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11109986334720 is a wasteful number, since it uses less digits than its factorization.

11109986334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 11109986334720 in words is "eleven trillion, one hundred nine billion, nine hundred eighty-six million, three hundred thirty-four thousand, seven hundred twenty".